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labwork [276]
2 years ago
11

The amount of profit, p, you earn by selling knives, k, can be determined by: p=200k-500 a) Determine the constraints on profit

and the constraints on the number of knives sold. b) Is it possible to make a $14000 profit?
Mathematics
1 answer:
Natalka [10]2 years ago
3 0
We are given with the formula
p = 200k - 500
a) The constraint for this formula is obtained from the idea that the profit must be positive
200k - 500 > 0 
k > 500/200
k > 2.5
b) To make 14000 profit
 14000 = 200k - 500
k = 72.5 or 73 knives must be sold
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Divide 4p2 + 6 by 2p – 2. Which statements are true about the division? Select three options. The divisor is 2p – 2. The dividen
Dahasolnce [82]

Answer:

The answer to your question is below

Step-by-step explanation:

1.

                                           2p    +  2                       ⇒  Quotient

Divisor    ⇒     2p - 2        4p²   +   0p  +  6            ⇒ Divident

                                        -4p²    +   4p

                                           0      +  4p  + 6

                                                   -  4p   + 4

                                                        0   + 10             ⇒ Remainder

2. The dividend is 4p2 + 0p + 6.

The quotient is 2p + 2 + .

The remainder over the divisor is     10 / (2p - 2)  .

To check the answer, multiply 2p + 2 + times 4p2 + 0p + 6 and verify that it equals the divisor.

                  (2p - 2)(2p + 2) = 4p⁴ + 4p - 4p - 4

                                           = 4p⁴ - 4 + 10

                                          = 4p⁴ + 10

5 0
2 years ago
P(n,6)=3p(n,5) what is the value of n.​
Leokris [45]

Answer:

n = 10

Step-by-step explanation:

3n1!/(n-4)! = (n-1)!/( n-1-5)

3n(n-1)(n-2)(n-3)(n-4) / N-4 -------- case1 ( cancel ( n-4) from top and bottom)

= (n-1)(n-2)(n-3)(n-4)(n-5)(n-6) / n-6 --------- case 2 ( Cancel n-6 from top and

                                                                                 bottom and also cancel n-1,

                                                                                  n-2, n-3 with case 1)

3n = ( n-4)(n-5)

3n = n² - 5n - 4n + 20

3n =  n² - 9n + 20

0 = n² - 9n - 3n + 20

0 = n² - 12n + 20

0 = (n-2)(n-10)

n = 2  ( not valid)       n = 10

Therefore n = 10

6 0
2 years ago
You are in charge of a crew that inspects cars. Each car takes approximately 1/2 hour for 1 person to inspect. The normal crew h
jonny [76]

Answer:

Each inspectors NEEDS to work 20 hours in order to review 320 cars.

Step-by-step explanation:

The amount of time taken to inspect 1 car = 1/2 hr = 0.5 hr

The total people in crew are supposed to be 10

But 2 people are MISSING.

So, the total number of present people in crew = 10 - 2=  8

The total number of cars to be inspected  = 320 cars.

Since each car takes 0.5 hour to be reviewed.

So, the time required to review 320 cars =  320 x 05  = 160 hours.

So, the total hours needed to inspect all 320 cars = 160 hours

Now,as there are total 8 crew members.

\implies \textrm{The number of hours each inspector needs to work} = \frac{\textrm{Total working hours needed}}{\textrm{Toal number of inspectors}} \\= \frac{160}{8}  = 20

Hence , each inspectors NEEDS to work 20 hours in order to review 320 cars.

7 0
2 years ago
Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4
crimeas [40]

We have been given an expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}. We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.

Let us simplify our given expression.

Using exponent property, a^m\cdot a^n=a^{m+n}, we cab rewrite our given expression as:

\left( 4^{-2+(-3)} \right)^{3}

\left( 4^{-5} \right)^{3}

Now we will use exponent property (a^m)^n=a^{m\cdot n}to further simplify our expression.

\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}

\left( 4^{-5} \right)^{3}= 4^{-15}

Therefore, Chris made mistake in step 2.

8 0
2 years ago
*WILL GIVE BRAINLIEST*
Luda [366]

Answer:

B - Spider-Man

Step-by-step explanation:

8 0
2 years ago
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